Modeling Soret coefficient measurement experiments in porous media considering thermal and solutal convection

International Journal of Heat and Mass Transfer

Volumn 44, Issue 7, 2001, Pages 1285-1297

  Benano Melly, L B ^a   Caltagirone, J P ^a   Faissat, B ^b   Montel, F ^b   Costeseque, P ^c  

^a Ecole Nationale Superieure de Chimie et de Physique de Bordeaux   (France)

^b CSTJF   (France)

^c CNRS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

BUOYANCY; COMPUTATIONAL FLUID DYNAMICS; HEAT CONVECTION; MATHEMATICAL MODELS; POROUS MATERIALS; THERMAL DIFFUSION IN LIQUIDS; THERMOGRAVIMETRIC ANALYSIS;

SORET NUMBER;

BINARY MIXTURES;

BINARY MIXTURE; CONVECTION; FLOW PATTERN; HEAT TRANSFER; POROUS MEDIUM; SOLUTE TRANSPORT; THERMAL DIFFUSION;

EID: 0035931815     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0017-9310(00)00183-6     Document Type: Article

References (44)

1. C. Soret, Influence de la température sur la distribution des sels dans leurs solutions, Compte-Rendu de l'Académie des Sciences, Paris 91 (1880) 289-291.
2. A. Rice, The mechanism of Mt. St. Helens eruption and speculations regarding Soret effect in planetary dynamics, Geophysical Surveys 7 (1985) 303-384.
3. C.R. Carrigan, R.T. Cygan, Contribution of Magma chamber dynamics to Soret fractionation, in: The Geological Society of America; 98th Annual Meeting, vol. 17, The Geological Society of America, 1985, p. 539.
4. V.A. Pugin, N. Bagdasarov, The Soret effect as a possible cause of Magma differentiation, Geochemistry International 25(4) (1988) 57-65 (Trans. From Geokhimiya, No. 9, 1987, 1285-1294).
5. V.A. Pugin, N. Bagdasarov, The Soret effect as a possible cause of Magma differentiation, Geochemistry International 25(4) (1988) 57-65 (Trans. From Geokhimiya, No. 9, 1987, 1285-1294).
6. P. Costesèque, Sur la migration des eléments par thermodiffusion. Etat et perspectives d'un modèle géochimique, Bulletin de Minéralogie 108 (1985) 305-324.
7. P. Costesèque, Sur la Migration sélective des isotopes et des eléments par thermodiffusion dans les solutions. Application de l'effet thermogravitationnel en milieu poreux; observations expérimentales et conséquences géochimiques, Ph.D. Thesis, Université Paul Sabatier, Toulouse, France, 1982.
8. P. Costesèque, M. Hridabba, J. Sahores, Possibilité de différenciation des hydrocarbures par diffusion thermogravitationnelle dans un pétrole brut imprégnant un milieu poreux, Compte-Rendu de l'Académie des Sciences, Paris 304 (II-17) (1987) 1069-1074.
9. P. Costesèque, M. El Maataoui, J. Sahores, Sur la différenciation des hydrocarbures constituant la fraction légère d'un brut par thermodiffusion gravitationnelle en milieu poreux, Compte-Rendu de l'Académie des Sciences, Paris 305 (II) (1987) 1531-1536.
10. C.E. Lesher, D. Walker, Thermal Diffusion in Petrology, vol. 8, Advances in Physical Geochemistry, 1991, pp. 396-451 (Chapter 12).
11. W.H. Furry, R.C. Jones, L. Onsager, On the theory of isotope separation by thermal diffusion, Physical Review 55 (1939) 1083-1095.
12. S.R. De Groot, Theorie phénoménologique de l'effet Soret, Physica 9 (7) (1942) 699-708.
13. S.R. De Groot, P. Mazur, Non Equilibrium Thermodynamics, North-Holland Publishing Company, Holland, 1962.
14. J.A. Weaver, R. Viskanta, Natural convection due to horizontal temperature and concentration gradients - 2. Species interdiffusion, Soret and Dufour effects, International Journal of Heat and Mass Transfer 34 (12) (1991) 3133-3133.
15. G. Zimmerman, U. Müller, Benard convection in a two-component system with Soret effect, International Journal of Heat and Mass Transfer 35 (9) (1992) 2245-2256.
16. W. Barten, M. Lücke, M. Kamps, R. Schmitz, Convection in binary fluid mixtures. {II} Localized travelling waves, Physical Review E 51 (6) (1995) 5662-5680.
17. C. Karcher, U. Müller, Onset of oscillatory convection in binary mixtures with Soret effects and solidification, International Journal of Heat and Mass Transfer 37 (16) (1994) 2517-2523.
18. J.K. Platten, J.C. Legros, Convection in Liquids, Springer, Berlin, 1984.
19. D.P. Chock, C.-H. Li, Direct integration method applied to Soret driven instability, Physics Fluids 18 (1975) 1401-1406.
20. G. Zimmerman, Benard-konvektion in binären flüssigkeitsmischungen mit thermodiffusion, Ph.D. Thesis, Univrsität Karlsruhe und KfK 4683, Germany, 1990.
21. T.L. Bergman, R. Srinivasan, Numerical simulation of Soret-induced double diffusion in an initially uniform concentration binary liquid, International Journal of Heat and Mass Transfer 32 (4) (1989) 679-687.
22. D.T. Hurle, E. Jakeman, Soret-driven thermosolutal convection, Journal of Fluid Mechanics 447 (1989) 667-687.
23. B. Hafskjold, T. Ikeshoji, S.K. Ratkje, On the molecular mechanism of thermal diffusion in liquids, Molecular Physics 80 (6) (1993) 1389-1412.
24. K.J. Zhang, M.E. Briggs, J.V. Sengers, Optical measurement of the Soret coefficient and the diffusion coefficient of liquid mixtures, Journal of Chemical Physics 104 (17) (1996) 6881-6892.
25. P. Kolodner, H. Williams, C. Moe, Optical measurement of the Soret coefficient of ethanol/water solutions, Journal of Chemical Physics 88 (10) (1988) 6512-6524.
26. J.P. Praizey, S. Van Vaerenbergh, J.P. Garandet, Thermomigration on board EURECA, Advances in Space Research 16 (7) (1995) (7)205-(7)214.
27. S. Van Vaerenbergh, J.-Cl. Legros, J-Cl. Dupin, First results of Soret coefficient measurement experiment, Advances in Space Research 16 (8) (1995) (8)69-(8)81.
28. K. Clusius, G. Dickel, New process for separation of gas mixtures and isotopes, Naturwissenschaften 26 (1938) 546.
29. K. Clusius, G. Dickel, The separating tube process for liquids, Naturwissenschaften 27 (1939) 148-149.
30. E. Rivière, P. Costesèque, Sur la diffusion thermogravitationnelle een milieu poreux dans une huile naturelle: influence de la fraction légère d'un brut sur l'Ampleur des migrations et estimation des coefficients de Soret des principaux composants de la Fraction Légère, Compte-Rendu de l'Académie des Sciences, Paris, 315(II) 179-185.
31. P. Jamet, D. Fargue, P. Costesèque, G. De Marsily, A. Cernes, The thermogravitational effect in porous media: a modelling approach, Transport in Porous Media 9 (1992) 223-240.
32. M. Fortin, R. Glowinsky, Méthode de Lagrangien augmenté. Application à la résolution des problèmes aux limites, Dunod, Méthode Numérique de l'informatique, 1982.
33. H. Uzawa, Studies in Linear and Nonlinear Programming, chapter Iterative methods for concave programming, Stanford University Press, Stanford, CA, 1958, pp. 154-165.
34. X. Nicola, P. Traore, A. Mojtabi, J.P. Caltagirone, Augmented lagrangian method and open boundary conditions in 2D simulation of Poiseuille-Bénard channel flow, International Journal of Numerical Methods and Fluids 25 (3) (1997) 265-283.
35. J.B. Ritz, J-P. Caltagirone, A numerical continuous model for the hydrodynamics of fluid particle systems, International Journal of Numerical Methods and Fluids 30 (8) (1999) 1067-1090.
36. S. Vincent, J.-P. Caltagirone, Efficient solving method for unsteady incompressible interfacial flow problems, International Journal of Numerical Methods and Fluids 30 (6) (1999) 795-811.
37. S.V. Patankar, Numerical Heat Transfer and Fluid Flow, Hemisphere, New York, 1990.
38. H.A. Van der Vorst, BI-CGSTAB: A fast and smoothy converging variant of BI-CG for the solution of nonsymetric linear systems, SIAM Journal of Scientific and Statistical Computing, vol. 13, pp. 631-644.
39. M. Lorenz, A.H. Emery, The packed thermal diffusion column, Chemical Engineering Science 11 (1959) 16-23.
40. A.H. Emery, M. Lorenz, Thermal dissusion in a packed column, Chemical Engineering Journal 9 (5) (1963) 661-663.
41. J. Estebe, J. Schott, Concentration des solutions salines et cristallisation dans les milieux poreux par effet thermogravitationnel, Compte-Rendu de l'Académie des Sciences, Paris, 1970.
42. M. Quintard, S. Whitaker, Transport in ordered and disordered porous media: volume-averaged equations, closure problems, and comparison with experiment, Chemical Engineering Science 48 (14) (1993) 2537-2564.
43. P. Jamet, D. Fargue, P. Costesèque, Determination of the effective transport coefficients for the separation of binary mixtures of organic compounds into packed thermal diffusion columns, Chemical Engineering Science 51 (19) (1996).
44. E. Arquis, J.-P. Caltagirone, Détermination numérique des coefficients de thermodiffusion effectifs en milieux poreux par une approche à une échelle locale, Entropie 198-199 (1996) 39-44.